scientific article

zbMath0790.11021MaRDI QIDQ3137208

Attila Pethoe

Publication date: 26 June 1994

Title: zbMATH Open Web Interface contents unavailable due to conflicting licenses.

zbMATH Keywords

Pell equationThue equationexponential diophantine equationsecond order linear recurrencesbinary recurrencefinitely many effectively computable solutions

Mathematics Subject Classification ID

Exponential Diophantine equations (11D61) Fibonacci and Lucas numbers and polynomials and generalizations (11B39)

Related Items (21)

Powers in recurrence sequences: Pell equations ⋮ On perfect powers that are sums of two Pell numbers ⋮ Unnamed Item ⋮ On perfect powers in $k$-generalized Pell sequence ⋮ Balancing numbers as sum of same power of consecutive balancing numbers ⋮ On perfect powers in \(k\)-generalized Pell-Lucas sequence ⋮ Balancing and balancing-like numbers which are one away from perfect powers ⋮ Linear combinations of prime powers in binary recurrence sequences ⋮ Pell and Pell-Lucas numbers of the form \(x^a\pm x^b+1\) ⋮ Pell and Pell-Lucas numbers of the form $-2^a-3^b+5^c$ ⋮ Diophantine equations concerning balancing and Lucas balancing numbers ⋮ Linear combinations of prime powers in sums of terms of binary recurrence sequences ⋮ Powers of two as sums of three Pell numbers ⋮ Linear combinations of prime powers in \(X\)-coordinates of Pell equations ⋮ On the exponential Diophantine equation P^x _n + P ^x _n+1 + ⋯ + P ^x _n+k-1 = P_m ⋮ The Diophantine equation Fn = P(x) ⋮ Prime powers in sums of terms of binary recurrence sequences ⋮ Unnamed Item ⋮ Powers in Lucas sequences via Galois representations ⋮ Unnamed Item ⋮ Pell numbers whose Euler function is a Pell number

This page was built for publication: